Points o, a, b lie on the same line. oa = 12 cm, ob = 9 cm. find the distance between the midpoints of segments oa and ob if: point o doesn’t lie on the segment ab .

1.5 cm

Step-by-step explanation:

In the figure attached,

OA = 12 cm and OB = 9 cm.

Let the mid points of OA and OB are P and Q.

Then we have to find the distance between P and Q.

Since P is the midpoint of OA so OP = = 6 cm.

and Q is the midpoint of OB so OQ = = 4.5 cm

Now PQ = OP - OQ

              = 6 - 4.5

              = 1.5 cm.

Distance between the midpoints of segments OA and OB is 1.5 cm.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1